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Rewriting in Varieties of Idempotent Semigroups

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Algebraic Informatics (CAI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6742))

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Abstract

We consider rewriting as a tool for solving identity problems in varieties of idempotent semigroups. It is known that there exist finite canonical term rewrite systems and finite canonical word rewrite systems for only a very limited number of those varieties. We present a finite canonical conditional word rewrite system for a particular variety in which the classical approaches cannot be applied. Moreover, we obtain infinite single letter deleting rewrite systems for each join-irreducible variety.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    Ondřej Klíma, Miroslav Korbelář & Libor Polák

Authors
  1. Ondřej Klíma
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  2. Miroslav Korbelář
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  3. Libor Polák
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Editor information

Editors and Affiliations

  1. Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenberger Straße 69, 4040, Linz, Austria

    Franz Winkler

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Klíma, O., Korbelář, M., Polák, L. (2011). Rewriting in Varieties of Idempotent Semigroups. In: Winkler, F. (eds) Algebraic Informatics. CAI 2011. Lecture Notes in Computer Science, vol 6742. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21493-6_12

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  • DOI: https://doi.org/10.1007/978-3-642-21493-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21492-9

  • Online ISBN: 978-3-642-21493-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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